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ARPN Journal of Science and Technology >> Volume 7, Issue 2, November 2017

ARPN Journal of Science and Technology

Time-Optimal Control Problem for n*n Co-Operative Parabolic Systems with Strong Constraint Control in Initial Conditions

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Author Byung Soo Lee, Mohammed Shehata, Salahuddin
ISSN 2225-7217
On Pages 700-707
Volume No. 4
Issue No. 11
Issue Date December 01, 2014
Publishing Date December 01, 2014
Keywords Time-optimal control problems, bang-bang controls, parabolic system, n*n co-operative


In this communication we considered and studied the time-optimal control problem for a liner n*n co-operative parabolic system defined on a bounded open domain Ω⊆ RN with a strong constraint control u ∈ U ⊂ (H10(Ω))n. This problem is, steering an initial state y(0)=u with a control u, so that an observation y(t) hitting a given target set in minimum time. First, we proved the existence and uniqueness of a solution of system under assumptions of the coefficients and also discussed the necessary and sufficient conditions of optimality.

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